{"id":"https://openalex.org/W4417438853","doi":"https://doi.org/10.1109/access.2025.3645695","title":"A Riemannian Conjugate Gradient Framework Based on Dai\u2013Liao Principles for Matrix Approximation","display_name":"A Riemannian Conjugate Gradient Framework Based on Dai\u2013Liao Principles for Matrix Approximation","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4417438853","doi":"https://doi.org/10.1109/access.2025.3645695"},"language":null,"primary_location":{"id":"doi:10.1109/access.2025.3645695","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3645695","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2025.3645695","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010896941","display_name":"Nasiru Salihu","orcid":"https://orcid.org/0000-0002-6967-2134"},"institutions":[{"id":"https://openalex.org/I60837268","display_name":"King Mongkut's University of Technology Thonburi","ror":"https://ror.org/0057ax056","country_code":"TH","type":"education","lineage":["https://openalex.org/I60837268"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Nasiru Salihu","raw_affiliation_strings":["Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand","Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand","institution_ids":["https://openalex.org/I60837268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036720066","display_name":"Poom Kumam","orcid":"https://orcid.org/0000-0002-5463-4581"},"institutions":[{"id":"https://openalex.org/I60837268","display_name":"King Mongkut's University of Technology Thonburi","ror":"https://ror.org/0057ax056","country_code":"TH","type":"education","lineage":["https://openalex.org/I60837268"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Poom Kumam","raw_affiliation_strings":["Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand","Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand"],"raw_orcid":"https://orcid.org/0000-0002-5463-4581","affiliations":[{"raw_affiliation_string":"Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand","institution_ids":["https://openalex.org/I60837268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011924128","display_name":"Kanokwan S\u0131tth\u0131thakerngk\u0131et","orcid":"https://orcid.org/0000-0002-8496-7803"},"institutions":[{"id":"https://openalex.org/I82828225","display_name":"King Mongkut's University of Technology North Bangkok","ror":"https://ror.org/04fy6jb97","country_code":"TH","type":"education","lineage":["https://openalex.org/I82828225"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Kanokwan Sitthithakerngkiet","raw_affiliation_strings":["Department of Mathematics, Faculty of Applied Science, Intelligent and Nonlinear Dynamic Innovations Research Center, King Mongkut’s University of Technology North Bangkok (KMUTNB), Bang Sue, Bangkok, Thailand","Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok (KMUTNB), 1518, Wongsawang, Bangsue, Bangkok, Thailand"],"raw_orcid":"https://orcid.org/0000-0002-8496-7803","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Applied Science, Intelligent and Nonlinear Dynamic Innovations Research Center, King Mongkut’s University of Technology North Bangkok (KMUTNB), Bang Sue, Bangkok, Thailand","institution_ids":["https://openalex.org/I82828225"]},{"raw_affiliation_string":"Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok (KMUTNB), 1518, Wongsawang, Bangsue, Bangkok, Thailand","institution_ids":["https://openalex.org/I82828225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016172315","display_name":"Thidaporn Seangwattana","orcid":"https://orcid.org/0000-0002-1240-1181"},"institutions":[{"id":"https://openalex.org/I82828225","display_name":"King Mongkut's University of Technology North Bangkok","ror":"https://ror.org/04fy6jb97","country_code":"TH","type":"education","lineage":["https://openalex.org/I82828225"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Thidaporn Seangwattana","raw_affiliation_strings":["Faculty of Science Energy and Environment, King Mongkut’s University of Technology North Bangkok, Rayong Campus (KMUTNB), Rayong, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science Energy and Environment, King Mongkut’s University of Technology North Bangkok, Rayong Campus (KMUTNB), Rayong, Thailand","institution_ids":["https://openalex.org/I82828225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.2282,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.86622519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"13","issue":null,"first_page":"214813","last_page":"214834"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9635999798774719,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9635999798774719,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.016100000590085983,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.012400000356137753,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.5426999926567078},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5058000087738037},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.4740999937057495},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.4733000099658966},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4652999937534332},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4339999854564667},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41499999165534973}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6176000237464905},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.5426999926567078},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5138000249862671},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5058000087738037},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.4740999937057495},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.4733000099658966},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4652999937534332},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4339999854564667},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4318999946117401},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42170000076293945},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41499999165534973},{"id":"https://openalex.org/C202655437","wikidata":"https://www.wikidata.org/wiki/Q7231728","display_name":"Portfolio optimization","level":3,"score":0.4025999903678894},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.39590001106262207},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3831999897956848},{"id":"https://openalex.org/C2780821815","wikidata":"https://www.wikidata.org/wiki/Q5340806","display_name":"Portfolio","level":2,"score":0.31529998779296875},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.3125999867916107},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.29589998722076416},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.2854999899864197},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.26350000500679016}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/access.2025.3645695","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3645695","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1109/access.2025.3645695","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3645695","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W621833885","https://openalex.org/W1981912021","https://openalex.org/W1990283121","https://openalex.org/W1998169401","https://openalex.org/W2008374458","https://openalex.org/W2012231377","https://openalex.org/W2016518303","https://openalex.org/W2018215034","https://openalex.org/W2053129565","https://openalex.org/W2058078260","https://openalex.org/W2058309945","https://openalex.org/W2075587829","https://openalex.org/W2076605490","https://openalex.org/W2079354271","https://openalex.org/W2091549324","https://openalex.org/W2091874256","https://openalex.org/W2122796095","https://openalex.org/W2149454052","https://openalex.org/W2151034540","https://openalex.org/W2225449929","https://openalex.org/W2228488727","https://openalex.org/W2276689698","https://openalex.org/W2479825108","https://openalex.org/W2485135680","https://openalex.org/W2556460356","https://openalex.org/W2887185543","https://openalex.org/W2889305943","https://openalex.org/W2962905348","https://openalex.org/W3083685597","https://openalex.org/W3094257649","https://openalex.org/W3161333715","https://openalex.org/W3166589644","https://openalex.org/W3193368045","https://openalex.org/W4205293427","https://openalex.org/W4206471589","https://openalex.org/W4235625704","https://openalex.org/W4240472590","https://openalex.org/W4284678912","https://openalex.org/W4285891457","https://openalex.org/W4298034945","https://openalex.org/W4308624735","https://openalex.org/W4312269929","https://openalex.org/W4315781566","https://openalex.org/W4315926057","https://openalex.org/W4322495452","https://openalex.org/W4323539420","https://openalex.org/W4327564986","https://openalex.org/W4388863143","https://openalex.org/W4390984016","https://openalex.org/W4399704988","https://openalex.org/W4399970278","https://openalex.org/W4400409260","https://openalex.org/W4402658666","https://openalex.org/W4405794665","https://openalex.org/W4406064061","https://openalex.org/W4408961084","https://openalex.org/W4409142137","https://openalex.org/W4409216497","https://openalex.org/W4409797327","https://openalex.org/W4413241480"],"related_works":[],"abstract_inverted_index":{"We":[0,143],"introduce":[1],"a":[2,33,70,103],"class":[3],"of":[4,75,139],"Dai\u2013Liao-type":[5],"Riemannian":[6,13,76,180],"conjugate":[7],"gradient":[8],"(CG)":[9],"methods":[10,39,46,63,182,212],"within":[11],"the":[12,19,23,28,58,88,124,137,153,156,164,186,195,203],"optimization":[14,38,56,149],"framework,":[15],"designed":[16],"to":[17,40,185],"avoid":[18],"typical":[20],"reliance":[21],"on":[22,57,155,202],"Gauss":[24],"lemma.":[25],"This":[26,159],"removes":[27],"need":[29],"for":[30,197,226],"strong":[31],"convexity,":[32],"condition":[34],"traditionally":[35],"required":[36],"in":[37,50,216],"guarantee":[41],"global":[42,48],"convergence.":[43],"Instead,":[44],"our":[45,81,110,211],"ensure":[47],"convergence":[49,82],"non-convex":[51],"settings,":[52],"such":[53],"as":[54,194],"portfolio":[55,148,169],"sphere":[59,157],"manifold.":[60,158],"The":[61],"proposed":[62,179],"generate":[64],"search":[65,78,125],"directions":[66],"that":[67,177,210],"inherently":[68,162],"satisfy":[69],"sufficient":[71],"descent":[72],"property,":[73],"independent":[74,168],"line":[77],"conditions.":[79],"Furthermore,":[80],"analysis":[83],"provides":[84],"greater":[85],"flexibility":[86],"regarding":[87],"CG":[89,147,181],"parameter":[90],"\u03b2k+1.":[91],"Unlike":[92],"many":[93],"existing":[94],"methods,":[95],"which":[96],"require":[97],"\u03b2k+1to":[98],"be":[99],"explicitly":[100],"bounded":[101,128],"by":[102,118,151],"fixed":[104],"formula":[105],"(e.g.,":[106],"|\u03b2k+1|":[107],"\u2264":[108],"\u03b2k+1FR),":[109],"framework":[111,161],"introduces":[112],"an":[113],"adaptive":[114],"min(max)":[115],"strategy.":[116],"Inspired":[117],"trust-region":[119],"techniques,":[120],"this":[121],"approach":[122],"regulates":[123],"process":[126],"using":[127],"parameters":[129],"\u03bcminand":[130],"\u03bcmax,":[131],"ensuring":[132,167],"numerical":[133],"stability":[134],"while":[135],"avoiding":[136],"limitations":[138],"specific":[140],"method":[141,192],"families.":[142],"also":[144],"generalize":[145],"classical":[146,214],"approaches":[150,215],"formulating":[152],"problem":[154,208],"geometric":[160],"satisfies":[163],"budget":[165],"constraint,":[166],"weights":[170],"and":[171,220],"enhancing":[172],"robustness.":[173],"Numerical":[174],"experiments":[175,201],"demonstrate":[176],"all":[178],"reliably":[183],"converge":[184],"same":[187],"high-performing":[188],"portfolio,":[189],"with":[190],"one":[191],"emerging":[193],"fastest":[196],"practical":[198],"use.":[199],"Additionally,":[200],"doubly":[204],"stochastic":[205],"matrix":[206],"approximation":[207],"show":[209],"outperform":[213],"both":[217],"iteration":[218],"count":[219],"computational":[221],"time,":[222],"exhibiting":[223],"superior":[224],"efficiency":[225],"large-scale":[227],"matrices.":[228]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-12-17T00:00:00"}